Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Applications of the Second-Order Esscher Pricing in Risk Management

This paper explores the application and significance of the second-order Esscher pricing model in option pricing and risk management. We split the study into two main parts. First, we focus on the constant jump diffusion (CJD) case, analyzing the behavior of option prices as a function of the second

Holy Grail Math 8.5 Rigor 6 ·  October 29, 2024

Novel Esscher concepts for informational risks and valuation in market models under random horizon

This paper considers the setting constituted by the triplet $(S,\mathbb{F},τ)$. The pair $(S,\mathbb{F})$ is the initial model where $S$ is the discounted price process of risky assets (Stocks) and $\mathbb{F}$ is the ``public" flow of information that is available to all agents over time. $τ$ is an

Lab Rats Math 9 Rigor 2 ·  November 12, 2026

The second-order Esscher martingale densities for continuous-time market models

In this paper, we introduce the second-order Esscher pricing notion for continuous-time models. Depending whether the stock price $S$ or its logarithm is the main driving noise/shock in the Esscher definition, we obtained two classes of second-order Esscher densities called linear class and exponent

Lab Rats Math 9.2 Rigor 1.5 ·  July 4, 2024

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